Computing unit groups of cyclotomic fields and integral abelian group rings
The page contains Magma
programs for computing the units of cyclotomic fields of small orders (<130),
and for computing the unit groups of integral group rings of small abelian groups.
The algorithms are described in the paper
Paolo Faccin, Willem de Graaf and Wilhelm Plesken, Computing generators of the unit group of an
integral abelian group ring, Journal of Algebra, 373, 441--452 (2013).
The files are:
At the top of the files the provided functions are explained,
and illustrated by an example.